Benetti Genolini Pietro, Tizzano Luigi
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge, CB3 OWA UK.
Department of Mathematics, King's College London, Strand, WC2R 2LS UK.
Commun Math Phys. 2024;405(11):255. doi: 10.1007/s00220-024-05139-8. Epub 2024 Oct 12.
We study various aspects of global symmetries in five-dimensional superconformal field theories. Whenever a supersymmetry-preserving relevant deformation is available, the infrared gauge theory description might exhibit a finite order mixed 't Hooft anomaly between a 1-form symmetry and the instantonic symmetry. This anomaly constrains the flavor symmetry group acting faithfully on the SCFT and the consistency of certain RG flows. As an additional example, we consider the instructive case of three-dimensional SQED. Finally, we discuss the compatibility between conformal invariance and the presence of 1-form and 2-group global symmetries.
我们研究五维超共形场论中全局对称性的各个方面。只要存在保持超对称性的相关变形，红外规范理论描述可能会展现出1形式对称性与瞬子对称性之间的有限阶混合‘t Hooft反常。这种反常限制了忠实地作用于超共形场论的味对称群以及某些重整化群流的一致性。作为一个额外的例子，我们考虑三维超量子电动力学这个有启发性的情形。最后，我们讨论共形不变性与1形式和2群全局对称性存在之间的兼容性。
